Question

Walking at 3/4 of his normal speed, Abhishek is 16 min late in reaching his office. The usual time taken by him to cover the distance between his home and office is:
1. 48 min
2. 60 min
3. 42 min
4. 62 min

Answer 1

Correct Answer - Option 1 : 48 min

Given:

When walking at 3/4^th of his usual speed time taken to reach office is 16 mins more 

Concept used:

When the distance is constant, speed ∝ (1/time)

Calculation:

Let the usual speed be S.

New speed = S × (3/4)

⇒ The ratio of usual speed to new speed = 4 ∶ 3

⇒ The ratio of the usual time to new time = 3 ∶ 4

Let his usual time be 3x and the new time is 4x.

Difference in time = 4x - 3x = 16 mins

⇒ x = 16 mins

The usual time taken = 3x

⇒ 3 × 16 = 48 mins

∴ The usual time to reach the office is 48 mins.